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Numerical Patterns (Grade 5)




 


Videos and lessons to help Grade 5 students learn to generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. 

For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so
.

Common Core: 5.OA.3

Suggested Learning Targets

  • I can make 2 numerical patterns with the same starting number for 2 different given rules.
  • I can explain the relationship between each of the corresponding terms from a pattern.
  • I can make ordered pairs with the corresponding terms in a pattern.
  • I can graph ordered pairs on a coordinate plane.

Related Topics:
Common Core for Grade 5

More Lessons for Grade 5

Activities:

1) The output of a function table is 4 less than each input.   Angela says the function rule is x - 4 = y. Kara says the rule is 4 - x = y.  Who is correct? Use what you know about patterns and functions to explain your answer.

2) Given the rule add 3 and starting at 0 complete the table below.

0

 

 

 

 

 

 

 

Given the rule add 6 and starting at 0 complete the table below.

0

 

 

 

 

 

 

 

Look at both of the tables once they are complete and explain the relationship between the two tables using the rules to help you.

Generating Rules and Forming Ordered Pairs to Graph
5.OA.3 Generate two numerical patterns using two given rules; form ordered pairs from the two patterns, and graph.





Function Machines - Input & Output Boxes 5-OA-3
This lesson takes a look at function machines, rules, inverse rules and missing values.


Function Machines - Input & Output Boxes Finding the Missing Output Value 5-OA-3
This lesson explains how to find missing output values when given a rule and input values.



 

One Step Function Machine
Find the rules of the function machines.


What's my rule? Using In/out machines.




Two Step Function Machine
Find the rules of the function machines.


Interpreting relationships between patterns.



 

Coordinate Plane

Plotting Points in the First Quadrant - 5.OA.3
In this video, students learn how to plot points in the first quadrant of the coordinate plane. This video relates to Common Core Standard 5.OA.3. Students learn to inspect both the x and y coordinates and how to graph them accordingly.


Create and Label a Coordinate Plane in the First Quadrant.




Plot Points on a Coordinate Plane.


Interpreting and graphing relationships between patterns.



 

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